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Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberGeneral(Modulus,Argument,Conjugate)Medium2 minPYQ_2002

MathematicsMediumsingle choice

If $∣ z - 4∣ < ∣ z - 2∣$ , its solution is given by

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Solution:

Given $∣ z - 4∣ < ∣ z - 2∣$ Let $z = x +$ iy $\Rightarrow∣ (x - 4) + i y) ∣ < ∣ (x - 2) + i y ∣\Rightarrow (x - 4)^{2} + y^{2} < (x - 2)^{2} + y^{2} \Rightarrow x^{2} - 8 x + 16 < x^{2} - 4 x + 4 \Rightarrow 12 < 4 x \Rightarrow x > 3 \Rightarrow Re (z) > 3$

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:General(Modulus,Argument,Conjugate)

⏱ 2mℹ️ Source: PYQ_2002

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